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Given a number n, return a string consisting of "0"s and "1"s that represents its value in base -2 (negative two).

The returned string must have no leading zeroes, unless the string is "0".

 

Example 1:

Input: n = 2
Output: "110"
Explantion: (-2) ^ 2 + (-2) ^ 1 = 2

Example 2:

Input: n = 3
Output: "111"
Explantion: (-2) ^ 2 + (-2) ^ 1 + (-2) ^ 0 = 3

Example 3:

Input: n = 4
Output: "100"
Explantion: (-2) ^ 2 = 4

 

Note:

  1. 0 <= n <= 109

class Solution { public String baseNeg2(int n) { } }
Medium
Encode Number